The equation is .
Write two cases:
\Case-1:
Case-2:
Solve the equation for Case-1.
\Apply addition property of equality: Add 9 to each side.
\ (Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Add:
)
Check:
\To check the solution, substitute in original equation.
(Subtract:
)
The absolute value of 20 is 20.
\Compare the values the equation is true. is a solution.
Solve the equation for Case-2.
\Apply addition property of equality: Add 9 to each side.
\ (Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Add:
)
Check:
\To check the solution, substitute in original equation.
(Add:
)
(The absolute value of
)
Compare the values the equation is true. is a solution.
The solution set is .